Non-similarity Solutions for Natural Convective Flow of a Nanofluid Over Vertical Frustum of a Cone Embedded in a Doubly Stratified Non-Darcy Porous Medium

Abstract

The present study emphasize the effects of stable thermal and solutal stratification on natural convective heat and mass transfer flow of a nanofluid over vertical frustum of a cone embedded in a non-Darcy porous medium. To attain physically acceptable results, the zero nanoparticle flux condition is considered at the surface of frustum of a cone rather than the wall condition. Initially, suitable non-similar transformations are used to convert the governing complex flow equations into non-dimensional form and then solved numerically by using a newly introduced spectral method named as bivariate pseudo-spectral local linearisation method. To test the accuracy of present method, the convergence test and error analysis are conducted. The Buongiorno’s nanofluid model which incorporates the effects of thermophoresis and Brownian motion is used in the present analysis. The effects of non-Darcy parameter, Lewis number, thermal and solutal stratification parameters on the velocity, temperature, nanoparticle volume fraction and regular concentration as well as the skin friction, Nusselt number, nanoparticle and regular Sherwood numbers are studied.